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Finding the Fourth Proportional to 25,190.50, 37,787.31 and 7,661.62

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Solution

The fourth proportional to 25,190.50, 37,787.31 and 7,661.62 is: 11,492.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,190.50 : 37,787.31 = 7,661.62 : x
  2. Step 2: Convert to fraction form
    25,190.50/37,787.31 = 7,661.62/x
  3. Step 3: Cross multiply
    25,190.50x = 37,787.31 × 7,661.62
  4. Step 4: Simplify right side
    25,190.50x = 289,512,010.04
  5. Step 5: Solve for x
    x = 289,512,010.04/25,190.50
  6. Step 6: Final answer
    x = 11,492.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.